stokes_cavity_check.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cavity.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
field uh;
warning_macro("get field...");
din >> catchmark("u") >> uh;
warning_macro("get field done");
const space& Xh = uh.get_space();
const geo& omega = Xh.get_geo();
space Qh (omega, "P1");
field ph (Qh);
din >> catchmark("p") >> ph;
trial u (Xh), p (Qh); test v (Xh), q (Qh);
form a = integrate (2*ddot(D(u),D(v)));
form b = -integrate (div(u)*q);
form mp = integrate (p*q);
field m_ru = a*uh + b.trans_mult(ph);
field m_rp = b*uh;
warning_macro("field_indirect...");
m_ru["top"] = 0; m_ru["bottom"] = 0;
warning_macro("field_indirect done");
if (Xh.get_geo().dimension() == 3) {
m_ru[1]["left"] = 0; m_ru[1]["right"] = 0;
m_ru["front"] = 0; m_ru["back"] = 0;
} else {
m_ru["left"] = 0; m_ru["right"] = 0;
}
field rp (Qh);
problem pmp (mp);
pmp.solve (m_rp, rp);
Float res_u = m_ru.u().max_abs();
Float res_p = sqrt(mp(rp,rp));
Float res = max(res_u, res_p);
Float p_constant = mp(ph, field(Qh,1.));
derr << "check: residue(uh) = " << res_u << endl
<< "check: residue(ph) = " << res_p << endl
<< "check: residue = " << res << endl
<< "m(p,1) = " << p_constant << endl;
return (res <= tol) ? 0 : 1;
}
cavity.h
The driven cavity benchmark: 2D boundary conditions.
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::field
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
warning_macro
#define warning_macro(message)
Definition: dis_macros.h:53
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef::D
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type D(const Expr &expr)
D(uh): see the expression page for the full documentation.
Definition: field_expr_terminal.h:969
rheolef::div
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::divergence >>::type div(const Expr &expr)
div(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1031
rheolef.h
rheolef - reference manual
main
int main(int argc, char **argv)
Definition: stokes_cavity_check.cc:25
a
Definition: diffusion_isotropic.h:25
p
Definition: sphere.icc:25
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26